One year after sarah started a new job, she had $1200 in her savings account. each year, she added $900 more to the savings account. what function, written in sequence notation, models sarah’s savings account balance n years after starting her new job? an=300n+1200 an=900n+300 an=300n+900 an=900n+1200

an=900n+300

Step-by-step explanation:

took test

Step-by-step explanation:

we are given

One year after Sarah started a new job, she had $1200 in her savings account

so, first term is 1200

Each year, she added $900 more to the savings account

so, common difference is 900

Since, it is arithematic sequence

so, we can use nth term formula

now, we can plug values

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

hope it